Find the inverse of the following equation, given that x≥−4 x
≥
−
4
:
f(x)=x+4−−−−−√+3
f
(
x
)
=
x
+
4
+
3

f−1(x)=x2−2x+6
f inverse of x is equal to x squared minus 2 x plus 6

f−1(x)=x2+1
f inverse of x is equal to x squared plus 1

f−1(x)=x2−11
f inverse of x is equal to x squared minus 11

f−1(x)=x2−6x+5
f inverse of x is equal to x squared minus 6 x plus 5

answer: median

step-by-step explanation:

the median is the middle value when a data set is ordered from least to greatest

answer: translate the circles so they share a common center point and dilate circle y by a scale factor of 3.

simplifying

5(x + -6) = 2(x + 3)

reorder the terms:

5(-6 + x) = 2(x + 3)

(-6 * 5 + x * 5) = 2(x + 3)

(-30 + 5x) = 2(x + 3)

reorder the terms:

-30 + 5x = 2(3 + x)

-30 + 5x = (3 * 2 + x * 2)

-30 + 5x = (6 + 2x)

solving

-30 + 5x = 6 + 2x

solving for variable 'x'.

move all terms containing x to the left, all other terms to the right.

add '-2x' to each side of the equation.

-30 + 5x + -2x = 6 + 2x + -2x

combine like terms: 5x + -2x = 3x

-30 + 3x = 6 + 2x + -2x

combine like terms: 2x + -2x = 0

-30 + 3x = 6 + 0

-30 + 3x = 6

add '30' to each side of the equation.

-30 + 30 + 3x = 6 + 30

combine like terms: -30 + 30 = 0

0 + 3x = 6 + 30

3x = 6 + 30

combine like terms: 6 + 30 = 36

3x = 36

divide each side by '3'.

x = 12

simplifying

x = 12

this should .

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